Discuss the continuity of the function f defined by `f(x)=1/x , x!=0`.

Explanation

To determine the continuity of the function \( f(x) = \frac{1}{x} \) for \( x \neq 0 \), we will follow these steps:

### Step 1: Identify the point of interest
The function \( f(x) = \frac{1}{x} \) is defined for all real numbers except \( x = 0 \). Therefore, we need to check the continuity of \( f(x) \) at points other than 0.

### Step 2: Define continuity
A function is continuous at a point \( c \) if the following three conditions are satisfied:
1. \( f(c) \) is defined.
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